Respuesta :

To solve for sin(-135), the reference angle will be obtained as follow:
sin(-135)
=-sin(135)
=-sin(180-135)
=-sin 45
hence
the reference angle θ=45°

Answer:

The reference angle will be [tex]{\theta}=45^{\circ}[/tex]

Step-by-step explanation:

To solve for [tex]sin(-135)[/tex], the reference angle can be obtained as follows:

= [tex]sin(-135)[/tex]

=[tex]- sin(135)[/tex] (Because [tex]sin(-{\theta})=-sin{\theta}[/tex])

Thus, the above equation can be written as:

=[tex]-sin(180-135)[/tex]

=[tex]-sin45[/tex]

Hence , the reference angle will be [tex]{\theta}=45^{\circ}[/tex]